102. M.A. Safi, M. Imran and A.B. Gumel. Threshold dynamics of a of a non-autonomous SEIRS model with quarantine and isolation. Theory in Biosciences. To appear.

101. Chandra Podder, Oluwaseun Sharomi, Abba Gumel and Eva Strawbridge. Mathematical analysis of a model for assessing the impact of antiretroviral therapy, voluntary testing and condom use in curtailing HIV. Differential Equations and Dynamical Systems. To appear.

100. F. Agusto, S. Lenhart, A. Gumel and A. Odoi. Mathematical analysis of a model for the transmission dynamics of bovine tuberculosis. Mathematical Methods in the Applied Sciences. To
appear.

99. O. Sharomi and A.B. Gumel. Mathematical study of the in-host dynamics of Chlamydia {\it trachomatis}. IMA Journal of Applied Mathematics. To appear.

98. O. Sharomi and A.B. Gumel. Mathematical study of a risk-structured two-group model for chlamydia transmission dynamics. Applied Mathematical Modelling. 35 (8)(2011): 3653--3673.

97. T. Malik, A. Gumel, L. Thompson, T. Strome and S. Mahmud. Google flu trends and Emergency Department triage data predicted the 2009 pandemic H1N1 waves in Manitoba. Canadian Journal of Public Health. 102(4)(2011): 294-297.

96. M.A. Safi and A.B. Gumel. Qualitative study of a quarantine/isolation model with multiple disease stages. Applied Mathematics and Computation. 218(5)(2011): 1941-1961.

95. Nafiu Hussaini, Mathias Winter and Abba B. Gumel. Qualitative assessment of the role of public health education program on HIV transmission dynamics. Mathematical Medicine and Biology: A Journal of the IMA. 28(3)(2011): 245-270.

94. Chandra N. Podder and Abba B. Gumel. Risk-induced backward bifurcation in HSV-2 transmission dynamics. DCDIS-B. To appear.

93. M. Safi and A.B. Gumel. Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine. Computers and Mathematics with Applications. 61(10)(2011): 3044-3070.

92. A. Niger and A.B. Gumel. Immune response and imperfect vaccine in malaria dynamics. Mathematical Population Studies. 18(2)(2011): 54-86.

91. E.H. Elbasha, C.N. Podder and A.B. Gumel. Analyzing the dynamics of an SIRS vaccination model with waning natural and vaccine-induced immunity. Nonlinear Analysis: Real World
Applications. 12(5)(2011): 2692-2705.

90. M. Safi and A.B. Gumel. Effect of incidence function on the dynamics of quarantine/isolation model with time delay. Nonlinear Analysis Series B: Real World Applications. 12(1)(2011): 215-235.

89. S.M. Garba, A.B. Gumel and J.M. Lubuma. Dynamically-consistent non-standard finite-difference method for an epidemic model. Mathematical and Computer Modelling. 53(2011): 131-150.

88. O. Sharomi and A.B. Gumel. Dynamical analysis of a sex- structured Chlamydia {\it trachomatis} transmission model with time delay. Nonlinear Analysis Series B: Real World Applications. 12(2)(2011): 837-866.

87. O. Sharomi, C. Podder, A.B. Gumel, S. Mahmud and E. Rubinstein. Modelling the transmission dynamics and control of the novel 2009 swine influenza (H1N1) pandemic. Bulletin of Mathematical Biology. 73(2011): 515-548.

86. G. Ngwa, A. Niger and A.B. Gumel. Mathematical assessment of the role of non-linear birth function and maturation delay in the population dynamics of the malaria vector. Applied
Mathematics and Computation. 217(7)(2010): 3286-3312.

85. Dessalegn Y. Melesse and A.B. Gumel. Global asymptotic properties of an $SEIRS$ model with multiple infectious stages. Journal of Mathematical Analysis and Applications.366(2010):
202-217. (This paper was listed among the Top25 Hottest Articles for January-March, 2010). http://top25.sciencedirect.com/subject/mathematics/16/journal/journal-of-mathematical-analysis-and-applications/0022247X/archive/26.

84. M.A. Safi and A.B. Gumel. Global asymptotic dynamics of a model for quarantine and isolation. DCDS-B. 14(1)(2010): 209-231.

83. K. Blayneh, A.B. Gumel, S. Lenhart and T. Clayton. Backward bifurcation analysis and optimal control of West Nile virus. Bulletin of Mathematical Biology. 72(4)(2010): 1006-1028.

82. O. Sharomi and A.B. Gumel. Mathematical analysis of HIV treatment model with variable viral load and infection stages. DIMACS Series in Discrete Mathematics and Theoretical Computer Science. Volume 75. American Mathematical Society, 2010 (268 Pages). A.B. Gumel and Suzanne Lenhart (eds.)

81. S.M. Garba and A.B. Gumel. Effect of cross-immunity on the transmission dynamics of two strains of dengue. International Journal of Computer Mathematics. 87(10)(2010): 2361–2384.

80. Philippe R. S. Lagace-Wiens, Ethan Rubinstein and Abba Gumel. Influenza epidemiology: past, present and the future. Critical Care Medicine. 38(3)(Suppl.)(2010): 1-9.

79. Chandra N. Podder and A.B. Gumel. Qualitative dynamics of a vaccination model for HSV-2. IMA Journal of Applied Mathematics. 75(1)(2010): 75-107. Corrigendum to ‘Qualitative dynamics of a vaccination model for HSV-2. IMA J. Applied Mathematics, 75(1)(2010): 75–107. IMA Journal of Applied Mathematics 76(2011): 217-218.

78. F. Agusto and A.B. Gumel. Theoretical assessment of avian influenza vaccine. Discrete and Continuous Dynamical Systems B. 13(1)(2010): 1-25.

77. S.M. Garba and A.B. Gumel. Mathematical recipe for HIV elimination in Nigeria. Journal of the Nigerian Mathematical Society. 83(10)(2010): 2361-2384.

76. Miranda I. Teboh-Ewungkem, Chandra N. Podder and Abba B. Gumel. Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics. Bulletin of
Mathematical Biology. 72(2010): 63-93.

75. O. Sharomi and A.B. Gumel. Reinfection-induced backward bifurcation in the transmission dynamics of Chlamydia \emph{trachomatis.} Journal of Mathematical Analysis and Applications. 356(2009): 96-118. ( This paper was listed among the Top25 Hottest Articles for April-June, 2009). http://top25.sciencedirect.php5.office.webpower.nl/subject/mathematics/16/journal/journal-of-mathematical-analysis-and-applications/0022247X/archive/22/

74. Lourdes Esteva, A.B. Gumel and Cruz Vargas de Leon. Qualitative study of transmission dynamics of antibiotic-resistant malaria. Mathematical and Computer Modelling. 50(3-4)(2009):
611-630.

73. S.A. Adewale, C.N. Podder and A.B. Gumel. Mathematical analysis of a TB transmission model with DOTS. Canadian Applied Mathematics Quarterly. 17(1)(2009): 1-36.

72. A. Yadollahi, A. Ashtari and A.B. Gumel. An O(h^2+l^2) method for second-order hyperbolic equations with time-dependent boundary conditions. International Journal of Applied
Mathematics and Engineering Sciences. 3(1)(2009): 61-74.

71. Chandra Podder and Abba Gumel. Transmission dynamics of a two-sex model for herpes simplex virus Type II. Canadian Applied Mathematics Quarterly. 17(2)(2009): 339-386.

70. A.B. Gumel. Global dynamics of a two-strain avian influenza model. International Journal of Computer Mathematics. 86(1)(2009): 85-108.

69. Z. Mukandavire, A.B. Gumel, W. Garira and J. M. Tchuenche. Mathematical Analysis of a Model for HIV-Malaria Co-infection. Mathematical Biosciences and Engineering. 6(2)(2009): 333-362.

68. A. M. Niger and A.B. Gumel. Mathematical analysis of the role of repeated exposure on malaria transmission dynamics. Dynamical Systems and Differential Equations. 16(3)(2008): 251-287.

67. M.C. Boily, K. Desai, B. Masse and A.B. Gumel. The incremental role of male circumcision on HIV transmission through its protective effect against other sexually transmitted
infections: from efficacy to effectiveness to population-level impact. Sexually Transmitted Infections. 84(2008): II28-II34. DOI.

66. L.M. Lix, M.S. Yogendran, W.D. Leslie, S.Y. Shaw, R. Baumgartner, C. Bowman, C. Metgel, A.B. Gumel, J. Hux and R.C. James. Using multiple data features improved the validity of osteoporosis case ascertainment from administrative data. Journal of Clinical Epidemiology. 61(12)(2008): 1250-1260

65. O. Sharomi and A.B. Gumel. Dynamical analysis of a multi-strain model of HIV in the presence of antiretroviral drugs. Journal of Biological Dynamics. 2(3)(2008): 323-345.

64. T. Day, A. Galvani, C. Struchiner and A.B. Gumel. The evolutionary consequences of vaccination. Vaccine. 26(S3)(2008): C1-C3.

63. M. Nuno, T.A. Reichert, G. Chowell and A.B. Gumel. Protecting residential care facilities from pandemic influenza. Proceedings of the National Academy of Sciences. 105(30)(2008): 10625-10630.

62. A.B. Gumel and B. Song. Existence of multiple-stable equilibria for a multi-drug-resistant model of mycobacterium tuberculosis. Mathematical Biosciences and Engineering. 5(3)(2008): 437-455.

61. S.M. Garba, A.B. Gumel and M.R. Abu Bakar. Backward bifurcations in dengue transmission dynamics. Mathematical Biosciences. 215(1)(2008): 11-25.

60. A.B. Gumel, M. Nuno and G. Chowell. Mathematical assessment of Canada's Pandemic Preparedness Plan. Canadian Journal of Infectious Diseases and Medical Microbiology. 19(2)(2008): 185-192. This paper won the 2009 Dr. Lindsay E. Nicolle award for the best paper published in the journal in 2008.

59. O. Sharomi, C.N. Podder, A.B. Gumel and B. Song. Mathematical analysis of the transmission dynamics of HIV/TB co-infection in the presence of treatment. Mathematical Biosciences and Engineering. 5(1)(2008): 145-174.

58. O. Sharomi and A.B. Gumel. Curtailing smoking dynamics: a mathematical modelling approach. Applied Mathematics and Computation. 195(2)(2008): 475-499.

57. O. Sharomi, C.N. Podder, A.B. Gumel, E. Elbasha and J. Watmough. Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Mathematical Biosciences.
210(2)(2007): 436-463.

56. C.N. Podder, O. Sharomi, A.B. Gumel and S. Moses. To cut or not to cut: a modeling approach for assessing the role of male circumcision on HIV control. Bulletin of Mathematical Biology. 69(8)(2007): 2447-2468.

55. J. Arino, C. Bowman, A.B. Gumel and S. Portet. Effect of the introduction of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease. Journal of Biological Dynamics. 1(4)(2007): 320-346.

54. C.N. Podder, A.B. Gumel, C. Bowman and R.G. McLeod. Mathematical study of the impact of quarantine, isolation and vaccination in curtailing an epidemic. Journal of Biological Sciences.15(2)(2007): 1-18.

53. Miriam Nuno, Gerardo Chowell and Abba B. Gumel. Assessing transmission control measures, antivirals and vaccine in curtailing pandemic influenza: scenarios for the US, UK, and the Netherlands. Proceedings of the Royal Society Interface. 4(14)(2007): 505-521.

52. A.B. Gumel, Connell C. McCluskey and Pauline van den Driessche. Mathematical study of a staged-progression HIV model with imperfect vaccine. Bulletin of Mathematical Biology. 68(2006): 2105-2128.

51. Ruppa K. Thulasiram , Chen Zhen, Amit Chhabra, Parimala Thulasiraman and Abba B. Gumel. A second-order L_0-Stable algorithm for evaluating European options. International Journal
of High Performance Computing and Networking. 4(5/6)(2006): 311-320.

50. C. Bowman and A.B. Gumel. Optimal vaccination strategies in an epidemic model with heterogeneous populations. Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges. AMS Contemporary Mathematics Book Series, Vol. 410 (2006). A.B. Gumel (Editor-in-Chief), C. Castillo-Chavez (Ed.), R.E. Mickens (Ed.), D.P. Clemence (Ed.).

49. Robert G. McLeod, John F. Brewster, Abba B. Gumel and Dean A. Slonowsky. Sensitivity and uncertainty analyses for a SARS model with time-varying inputs and outputs. Mathematical Biosciences and Engineering. 3(3)(2006): 527-544.

48. E.H. Elbasha and A.B. Gumel. Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits. Bulletin of Mathematical Biology. 68(2006): 577-614.

47. T. Day, A. Park, N. Madras, A.B. Gumel and J. Wu. When is quarantine a useful control strategy for emerging infectious diseases? American Journal of Epidemiology. 163(2006): 479-485.

46. A.B. Gumel, C. Connell McCluskey and J. Watmough. An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Mathematical Biosciences and Engineering. 3(3)(2006): 485-512.

45. C. Bowman, A.B. Gumel, P. van den Driessche, J. Wu and H. Zhu. A mathematical model for assessing control strategies against West Nile virus. Bulletin of Mathematical Biology. 67(2005): 1107-1133.

44. A.B. Gumel, K. Patidar and R.J. Spiteri. Asymptotically Consistent Non-Standard Finite-Difference Methods for Solving Mathematical Models Arising in Population Biology. Book Chapter.
Advances in the Applications of Nonstandard Finite Difference Schemes. World Scientific, pp. 385-421, 2005 (Ronald Mickens, ed.)

43. A.B. Gumel and S.M. Moghadas. HIV control in vivo: Dynamical Analysis. Communications in Non-linear Science and Numerical Simulations. 9(2004): 561-568.

42. A.B. Gumel, S. Ruan, T. Day, J. Watmough, F. Brauer, P. Driesche, D. Gabrielson, C. Bowman, M.E. Alexander, S. Ardal, J. Wu and B.M. Sahai. Modelling strategies for controlling SARS outbreaks. Proceedings of the Royal Society, Series B. 271(2004): 2223-2232.

41. M.E. Alexander, C. Bowman, A.B. Gumel, S.M. Moghadas, B.M. Sahai and R. Summers. A vaccination model for transmission dynamics of influenza. SIAM Journal on Applied Dynamical Systems. 3(4)(2004): 503-524.

40. A.B. Gumel, S.M. Moghadas and R.E. Mickens. Effect of a preventive vaccine on the dynamics of HIV transmission. Communications in Non-linear Science and Numerical Simulations. 9(6)(2004): 649-659.

39. S.M. Moghadas, A.B. Gumel, R.G. McLeod and R. Gordon. Could condoms stop the AIDS epidemic? Journal of Theoretical Medicine. 5(3-4)(2003): 171--181.

38. C. Zhen, A.B. Gumel and R.E. Mickens. Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Numerical Methods for Partial Differential Equations. 19(3)(2003): 363-379.

37. A.B. Gumel, S.M. Moghadas, Y. Yuan and P. Yu. Bifurcation and stability analyses of a 13-D SEIC model using normal form reduction and numerical simulations. Dynamics of Continuous, Discrete and Impulsive Systems, Series B. 10(2003): 317-330.

36. W. Piyawong, E.H. Twizell and A.B. Gumel. An unconditionally-convergent finite-difference scheme for the SIR model. Applied Mathematics and Computation. 146(2003): 611-625.

35. S.M. Moghadas and A.B. Gumel. Dynamical and numerical analyses of a generalized food-chain model. Applied Mathematics and Computation. 142(1)(2003): 35-49.

34. A.B. Gumel, R.E. Mickens and B.D. Corbett. A non-standard finite-difference scheme for a model of HIV transmission and control. Journal of Computational Methods in Sciences and Engineering. 3(1)(2003): 91-98.

33. S.M. Moghadas and A.B. Gumel. A population model for the dynamics between HIV and another pathogen. Australian and New Zealand Industrial and Applied Mathematics Journal. 45(2003): 181-193.

32. S.M. Moghadas and A.B. Gumel. A mathematical study of a model for childhood diseases with non-permanent immunity. Journal of Computational and Applied Mathematics. 157(2)(2003):
347-363.

31. S.M. Moghadas, M.E. Alexander, B.D. Corbett and A.B. Gumel. A positivity-preserving Mickens-type discretization of an epidemic model. Journal of Difference Equations and Applications. Special Edition for Mickens' 60th Birthday. 9(11)(2003): 1037-1051.

30. A.B. Gumel and S.M. Moghadas. A qualitative study of a vaccination model with non-linear incidence. Applied Mathematics and Computation. 143(2-3)(2003): 409-419.

29. B.D. Corbett, S.M. Moghadas and A.B. Gumel. Sub-threshold domain of bistable equilibria for a model of HIV epidemiology. International Journal of Mathematics and Mathematical Sciences. 2003(58)(2003): 3679-3698.

28. A.B. Gumel. Removal of contrived chaos in finite-difference methods. International Journal of Computer Mathematics. 79(9)(2002): 1033-1041.

27. A.B. Gumel. A competitive numerical method for a chemotherapy model of two HIV subtypes. Applied Mathematics and Computation. 131(2-3)(2002): 329-337.

26. S.M. Moghadas and A.B. Gumel. Analysis of a model for transmission dynamics of tuberculosis. Canadian Applied Mathematics Quarterly. 10(3) (2002): 411--428.

25. R.E. Mickens and A.B. Gumel. Numerical study of a nonstandard finite-difference scheme for the van der Pol equation. Journal of Sound and Vibration. 250(5)(2002): 955-963.

24. A.B. Gumel, Xuewu Zhang, P.N. Shivakumar, M.L. Garba and B.M. Sahai. A new mathematical model for assessing therapeutic strategies of HIV infection. Journal of Theoretical Medicine. 4(2)(2002): 147-155.

23. S.M. Moghadas and A.B. Gumel. Global stability of a two-stage epidemic model with generalized non-linear incidence. Mathematics and Computers in Simulation. 60(1-2)(2002): 107-118.

22. R.E. Mickens and A.B. Gumel. Construction and analysis of a nonstandard finite difference scheme for the Burgers-Fisher equation. Journal of Sound and Vibration 257 (4)(2002): 791-797.

21. A.B. Gumel. Numerical modelling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2. Communications in Non-linear Science and Numerical Simulation
6(1)(2001): 23-27.

20. A.B. Gumel, P.N. Shivakumar and B.M. Sahai. A mathematical model for the dynamics of HIV-1 during the typical course of infection. Non-linear Analysis: Theory, Methods and Applications. 47(3)(2001): 1773-1783.

19. P. Yu and A.B. Gumel. Bifurcation and stability analyses for a coupled Brusselator model. Journal of Sound and Vibration. 244 (5)(2001): 795-820.

18. A.B. Gumel, T.D. Loewen, P.N. Shivakumar, B.M. Sahai, P. Yu and M.L. Garba. Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy. Computers in
Biology and Medicine. 31(5)(2001): 287-301.

17. W.T. Ang and A.B. Gumel. A boundary integral method for the three-dimensional heat equation subject to specification of energy. Journal of Computational and Applied Mathematics. 135
(2)(2001): 303-311.

16. A.B. Gumel, E.H. Twizell and P. Yu. Numerical and bifurcation analyses of a population model of HIV chemotherapy. Journal of Mathematics and Computers in Simulation. 54, Iss.1-3 (2000): 169-181.

15. A.B. Gumel, W.F. Langford, E.H. Twizell and J. Wu. Numerical solutions for a coupled non-linear oscillator. Journal of Mathematical Chemistry. 28(4)(2000): 325-340.

14. A.B. Gumel. On the numerical solution of the diffusion equation subject to the specification of mass. Journal of Australian Mathematics Society Series B 40(4)(1999): 475-483.

13. A.B. Gumel Q. Cao and E.H. Twizell. A second-order
scheme for the Brusselator reaction-diffusion system. Journal of
Mathematical Chemistry. 26(1999): 297-316.

12. A.B. Gumel and E.H. Twizell. Numerical analysis of defects caused by thermolysis in an infinite cylindrical ceramic moulding. Pertanika Journal of Science and Technology. 17(1)(1999): 13-24.

11. A.B. Gumel. Numerical solutions for the canonical escape equation. South East Asian Bulletin of Mathematics 22(1998): 373-380.

10. A.B. Gumel, K. Kubota and E.H. Twizell. A sequential algorithm for the non-linear dual-sorption model of percutaneous drug absorption. Mathematical Biosciences 152(1998): 87-103.

9. A.B. Gumel, E.H. Twizell and M.A. Arigu. L_0-stable parallel methods for multi-dimensional heat equation. Parallel Algorithms and Applications 11(1997): 13-25.

8. A.B. Gumel, E.H. Twizell, M.A. Arigu and F. Fakhr. Numerical methods for a non-linear system arising in chemical kinetics. Pertanika Journal of Science and Technology 5(2)(1997): 191-200.

7. A.B. Gumel, W.T. Ang and E.H. Twizell. Efficient parallel algorithm for the two-dimensional diffusion equation subject to the specification of mass. International Journal of Computer Mathematics 64 (1+2)(1997): 153-163.

6. W.T. Ang and A.B. Gumel. Multiple interacting planar cracks in an inisotropic multi-layered medium under an anti-plane shear stress: A hyper-singular integral approach. Engineering
Analysis with Boundary Elements 2021(1996) 18(Iss.4): 297-303.

5. E.H. Twizell, A.B. Gumel and M.A. Arigu. Second-order, L_0-stable methods for partial differential equations with time-dependent boundary conditions. Advances in Computational
Mathematics 6(3-4)(1996): 333-352.

4. M.A. Arigu, E.H. Twizell and A.B. Gumel. Sequential and parallel methods for solving first-order hyperbolic equations. Communications in Numerical Methods in Engineering 12(1996): 557-568.

3. A.B. Gumel, E.H. Twizell, K. Kubota and M.A. Arigu. Higher-order parallel methods for a model of percutaneous drug absorption. Intern. J. Computer Math. 56(1995): 123-133.

2. M.A. Arigu, E.H. Twizell and A.B. Gumel. Parallel algorithms for second-order hyperbolic equations. Parallel Algorithms and Applications, 5(1995): 119-128.

1. M.A. Arigu, E.H. Twizell and A.B. Gumel. Parallel algorithms for fourth-order parabolic equations. Parallel Algorithms and Applications 5(1995): 273-286.